2831201856 has 448 divisors, whose sum is σ = 10195763200. Its totient is φ = 752467968.

The previous prime is 2831201843. The next prime is 2831201899. The reversal of 2831201856 is 6581021382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2831201856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22292865 + ... + 22292991.

It is an arithmetic number, because the mean of its divisors is an integer number (22758400).

Almost surely, 2^2831201856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2831201856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097881600).

2831201856 is an abundant number, since it is smaller than the sum of its proper divisors (7364561344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2831201856 is a wasteful number, since it uses less digits than its factorization.

2831201856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2831201856 is about 53209.0392320703. The cubic root of 2831201856 is about 1414.6758664392.

The spelling of 2831201856 in words is "two billion, eight hundred thirty-one million, two hundred one thousand, eight hundred fifty-six".